Novel Hardy-Type Inequalities Involving Delta Conformable Calculus on Arbitrary Time Scales

Authors

Ahmad Mohamed Hassan, Department of Basic Science, Higher Institute of Engineering and Technology, El Minia, EgyptFollow
Hassan Mostafa El-Owaidy, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
Ahmed Abd El-Monem El-Deeb, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

Corresponding Author

Ahmad Mohamed Hassan

Document Type

Original Article

Subject Areas

Mathematics and Statistics

Keywords

Delta conformable calculus; Hölder inequality; Hardy's inequality; Time scales

Abstract

This article extends previous findings by obtaining a novel class of Hardy-type dynamic inequalities involving delta conformable calculus on time scales. In addition to enhancing on certain results obtained under less general assumptions, our findings contain several outcomes that have been confirmed in published research and are therefore interpreted as limited cases. The integration by parts calculation, the chain rule on delta conformable calculus time scales, and the Hölder inequality serve as demonstrations of our main findings.

How to Cite This Article

Hassan, Ahmad Mohamed; El-Owaidy, Hassan Mostafa; and El-Deeb, Ahmed Abd El-Monem (2025) "Novel Hardy-Type Inequalities Involving Delta Conformable Calculus on Arbitrary Time Scales," Al-Azhar Bulletin of Science: Vol. 36: Iss. 1, Article 8.
DOI: https://doi.org/10.58675/2636-3305.1699